30 citations · 75 across the 16 of their papers we have counts for
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math.CO2018★ 30 cited
Arithmetic aspects of symmetric edge polytopes
Akihiro Higashitani, Katharina Jochemko, Mateusz Michałek
We investigate arithmetic, geometric and combinatorial properties of symmetric edge polytopes. We give a complete combinatorial description of their facets. By combining Gröbner ba…
math.CO2018★ 3 cited
Smooth centrally symmetric polytopes in dimension 3 are IDP
Matthias Beck, Christian Haase, Akihiro Higashitani +4
In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric -dimensional polytopes, by s…